Title: Modified projective synchronisation of different order chaotic systems with adaptive scaling factor

Authors: Papri Saha; Dibakar Ghosh; A. Roy Chowdhury

Addresses: Department of Physics, B.P. Poddar Institute of Management and Technology, 137 VIP Road, Calcutta-700052, India; High Energy Physics Division, Department of Physics, Jadavpur University, Calcutta-700032, India ' Department of Mathematics, Dinabandhu Andrews College, Garia, Calcutta-700084, India; High Energy Physics Division, Department of Physics, Jadavpur University, Calcutta-700032, India ' High Energy Physics Division, Department of Physics, Jadavpur University, Calcutta-700032, India

Abstract: In this paper, modified projective synchronisation between two nonlinear systems with dissimilar order is studied. A new adaptive controller is designed with the help of Lyapunov stability theory. It is observed that the different order systems synchronise and the method is quite effective when the difference in order is one and two. The numerical results are supported by analytical calculations. It is also seen that the method is equally applicable to variable scaling factor and the scaling factor can be estimated from the process of functional projective synchronisation.

Keywords: modified projective synchronisation; MPS; adaptive scaling factor; hyperchaotic systems; nonlinear systems; adaptive control; controller design; Lyapunov stability theory.

DOI: 10.1504/IJANS.2014.065145

International Journal of Applied Nonlinear Science, 2014 Vol.1 No.3, pp.230 - 246

Received: 20 Apr 2011
Accepted: 12 Oct 2011
Published online: 28 Oct 2014 *

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